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1028323296 = 2533711132941
BaseRepresentation
bin111101010010101…
…111011111100000
32122122222020101000
4331102233133200
54101222321141
6250012312000
734324414050
oct7522573740
92578866330
101028323296
11488509570
12248472600
13135075c30
149a801560
15604285b6
hex3d4af7e0

1028323296 has 768 divisors, whose sum is σ = 4267468800. Its totient is φ = 232243200.

The previous prime is 1028323291. The next prime is 1028323297. The reversal of 1028323296 is 6923238201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1028323296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028323291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25081036 + ... + 25081076.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 21028323296 is an apocalyptic number.

1028323296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133734400).

1028323296 is an abundant number, since it is smaller than the sum of its proper divisors (3239145504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1028323296 is a wasteful number, since it uses less digits than its factorization.

1028323296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1028323296 is about 32067.4803500369. The cubic root of 1028323296 is about 1009.3533409213.

The spelling of 1028323296 in words is "one billion, twenty-eight million, three hundred twenty-three thousand, two hundred ninety-six".